Araştırma Makalesi

FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS

Cilt: 8 Sayı: 1 31 Ocak 2025
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EN

FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS

Öz

In this article, an interpolative contraction existing in the literature is adapted to different fuzzy metric spaces. Using this contraction, a fixed point theorem in two fuzzy metric spaces is proven and an example is presented. Thus, a more general form of some concepts and theorems existing in the literature has been obtained.

Anahtar Kelimeler

Destekleyen Kurum

There is no support from any institution.

Etik Beyan

I declare that this study is an original study, that I have acted in accordance with scientific ethical principles and rules at all stages, and that I have cited the sources for the data and information.

Teşekkür

I would like to thank the editors who will review this work for their contributions.

Kaynakça

  1. S. Banach, Sur les oprations dans les ensembles abstrails et leur application aux quations intgrales, Fund Math., Vol.3, pp.133-181 (1922).
  2. A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems., Vol.64, pp.395-399 (1994). Doi:10.1016/0165-0114(94)90162-7.
  3. M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems., Vol.27, pp.385-389 (1988). Doi:10.1016/0165-0114(88)90064-4.
  4. V. Gregori, J. J. Minana, D. Miravet, Extended fuzzy metrics and _xed point theorems, Mathematics Journal, Vol.7, pp.303 (2019). Doi:10.3390/math7030303.
  5. V. Gregori, S. Romaguera, Characterizing completable fuzzy metric spaces, Fuzzy Sets and Systems, Vol.144, pp.411-420 (2014). Doi:10.1016/S0165-0114(03)00161-1.
  6. V. Gregori, A. Sapena, On _xed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, Vol.125, pp.245-252 (2002). Doi:10.1016/S0165-0114(00)00088-9.
  7. V. Istratescu, An introduction to theory of probabilistic metric spaces with applications, Ed. Tehnica, Bucure_sti-Romanian, (1974).
  8. E. Karapinar, R. P. Agarwal, H. Aydi, Interpolative Reich-Rus-Ciric type contractions on partial metric spaces, Mathematics, Vol.6, pp.256 (2018).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Topoloji

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Ocak 2025

Gönderilme Tarihi

30 Temmuz 2024

Kabul Tarihi

2 Aralık 2024

Yayımlandığı Sayı

Yıl 2025 Cilt: 8 Sayı: 1

Kaynak Göster

APA
Şenocak, M. (2025). FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. Journal of Universal Mathematics, 8(1), 33-39. https://doi.org/10.33773/jum.1446824
AMA
1.Şenocak M. FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. JUM. 2025;8(1):33-39. doi:10.33773/jum.1446824
Chicago
Şenocak, Meryem. 2025. “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”. Journal of Universal Mathematics 8 (1): 33-39. https://doi.org/10.33773/jum.1446824.
EndNote
Şenocak M (01 Ocak 2025) FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. Journal of Universal Mathematics 8 1 33–39.
IEEE
[1]M. Şenocak, “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”, JUM, c. 8, sy 1, ss. 33–39, Oca. 2025, doi: 10.33773/jum.1446824.
ISNAD
Şenocak, Meryem. “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”. Journal of Universal Mathematics 8/1 (01 Ocak 2025): 33-39. https://doi.org/10.33773/jum.1446824.
JAMA
1.Şenocak M. FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. JUM. 2025;8:33–39.
MLA
Şenocak, Meryem. “FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS”. Journal of Universal Mathematics, c. 8, sy 1, Ocak 2025, ss. 33-39, doi:10.33773/jum.1446824.
Vancouver
1.Meryem Şenocak. FIXED POINT THEOREMS IN SOME FUZZY METRIC SPACES VIA INTERPOLATIVE CONTRACTIONS. JUM. 01 Ocak 2025;8(1):33-9. doi:10.33773/jum.1446824